Composition of \(q\)-quasiconformal mappings and functions in Orlicz-Sobolev spaces

zbMath1291.30133MaRDI QIDQ2441069

Luděk Kleprlík, Stanislav Hencl

Publication date: 21 March 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1391178556

zbMATH Keywords

Orlicz spacescomposition operatorLebesgue density type theoremquasiconfomal mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (13)

Explicit bounds and sharp results for the composition operators preserving the exponential class ⋮ Bi-Sobolev mappings and \(K_{p}\)-distortions in the plane ⋮ Regularity of the inverse of a homeomorphism of a Sobolev-Orlicz space ⋮ Norms supporting the Lebesgue differentiation theorem ⋮ Mappings generating embedding operators in Orlicz-Sobolev spaces ⋮ Locally biHölder continuous maps and their induced embeddings between Besov spaces ⋮ Quasiconformal mappings and sharp estimates for the distance to \(L^\infty\) in some function spaces ⋮ Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings ⋮ Unnamed Item ⋮ Commutators of fractional maximal operator on generalized Orlicz-Morrey spaces ⋮ Composition operators in Orlicz-Sobolev spaces ⋮ Intrinsic square functions on vanishing generalized Orlicz-Morrey spaces ⋮ Composition operators on \(W^1X\) are necessarily induced by quasiconformal mappings

Cites Work

• Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
• Mappings of finite signed distortion: Sobolev spaces and composition of mappings
• Jacobians of Sobolev homeomorphisms
• Quasiconformal extension from dimension n to n+1
• Absolutely continuous functions of several variables and quasiconformal mappings
• Weighted weak type integral inequalities for the Hardy-Littlewood maximal operator
• Functions of bounded mean oscillation and quasiconformal mappings
• Homeomorphisms that induce monomorphisms of Sobolev spaces
• Quasi-Symmetric Embeddings in Euclidean Spaces
• Weakly Differentiable Functions
• Composition of quasiconformal mappings and functions in Triebel‐Lizorkin spaces
• Quasiconformal mappings and exponentially integrable functions
• Regularity of the inverse of a Sobolev homeomorphism in space

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